Joker being a narcissist in the movie, concerned for his looks. Does Joker do what he does, like scarring Alicia's face, all because he's trying to 'perfect' people, to be like him? Because he see's himself as 'art' and then see's Alicia as art after her face is like his.

Could he be doing this because he's trying to cope with becoming disfigured? He's lying to himself that he thinks he looks good?